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Finding the Third Proportional to 310.08 and 581.77

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Solution

The third proportional to 310.08 and 581.77 is: 1,091.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.08 : 581.77 = 581.77 : x
  2. Step 2: Convert to fraction form
    310.08/581.77 = 581.77/x
  3. Step 3: Cross multiply
    310.08x = 581.77 × 581.77
  4. Step 4: Simplify right side
    310.08x = 338,451.24
  5. Step 5: Solve for x
    x = 338,451.24/310.08
  6. Step 6: Final answer
    x = 1,091.50

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.